Abstract
Keywords
Introduction
Emergency Department (ED) crowding has become a severe and growing problem threatening public health worldwide. 1 In 2006, the American College of Emergency Physicians defined ED crowding as follows: ‘Crowding occurs when the identified need for emergency services exceeds available resources for patient care in the emergency department, hospital, or both’. Thus, ED crowding is a consequence of an imbalance between demand and supply of emergency medicine services within the ED and limited hospital capacity.2,3 Constraints in hospital capacity lead to ‘access block’ where ED patients cannot be admitted to the hospital wards and ‘board’ or ‘lodge’ inside the ED.
Most importantly, crowding can compromise patients’ health outcomes by delaying care and causing poor quality of care. 3 ED crowding is equally important to both policy-makers and researchers aiming to better understand and suggest appropriate and sustainable solutions for this phenomenon. ED crowding is one of the dominant threads in the emergency medicine literature and has gained the attention of researchers globally. 4
Between 1998 and 2008, EDs in the United States have experienced an approximate growth in patient visits of 30%, that is, from 94.8 million visits in 1998 to 123 million visits in 2008, while a third of urban area EDs were shut down, 5 reminding us of the Institute of Medicine’s assessment in 2006 that US EDs are operating near or at the very ‘breaking point’. 6 In 2004, after having experienced years of heavy ED crowding, the United Kingdom implemented the ‘4-hour rule’ demanding that 98% of all ED patients must be seen and discharged or admitted within 4 h of their arrival. 7 The rule was highly effective in reducing ED patients’ length of stay (LOS) but, at the same time, generated unintended side effects. Most notably, the emergency physicians (EPs) have tended to prioritize attainment of the 4-h target over thorough evaluation. As a consequence, more patients are admitted to the hospital shifting the workload from the ED to downstream wards. 1 The UK experience illustrates that because ED crowding is a reflection of larger supply and demand mismatches in the health care system, the problem cannot be solved by policies which examine the ED in isolation. 2
In 2014, the total population of Singapore amounts to 5.47 million with an average annual growth rate of 1.3%. 8 In comparison, total ED attendance has grown at a disproportionately higher rate, that is, roughly 6.8% per year between 2005 and 2011. 9 Despite the slowing down of ED attendance growth rates between 2011 and 2014, total ED attendance hit the 1 million mark in 2013. 10 The number of EPs has increased as well with an average annual growth rate of 13.4% from 2005 to 2014. 9 Notwithstanding the rise in EPs in past years, their workload has remained very high, for example, each EP has seen on average 7809 patients in 2014.9,10 Figure 1 illustrates the evolution of both total ED attendance and population size in Singapore for the period from 2005 to 2014. For the same time period, Figure 2 shows the development of both number of EPs and the average amount of patients an EP has to handle in Singapore per year.

Evolution of total population and ED attendance in Singapore from 2005 to 2011.

Evolution of EPs and patients/EP in Singapore from 2005 to 2011.
The problem of (over)crowded EDs has been reported nationwide, linked to long waiting times and high hospital bed occupancy. 9 Furthermore, in absolute numbers, Singapore has still too few EPs for an efficient and effective treatment of all patients presenting at the EDs. Previous studies have suggested that the optimal ED throughput is about 2–2.8 patients per EP per hour. 11 In Singapore, however, this rate lies between 6.4 and 8.5 patients per EP per hour depending on the mode of calculation. 9 This suggests that the current state of emergency medical care in Singapore may not be sustainable and has implications on patients’ and ED staff health.
Many studies have argued that ED crowding is a complex systems problem that cannot be effectively tackled by reductionist or piecemeal approaches.2,4,12 A recent systematic literature review of ED crowding concludes that ‘when considered as a whole, the body of literature demonstrates that ED crowding is a local manifestation of a systemic disease’.
3
Therefore, in this article, we explore ED crowding in Singapore using a
Systems thinking is a distinct ‘way of thinking’ that appreciates the very nature of complex systems – such as health systems – as dynamic, history dependent, and governed by feedbacks.13,14 Recently, systems thinking has gained traction in health research as two special issues in
In this study, our aim is to elicit the systemic structure reflecting the drivers and consequences of ED crowding for both patients and ED staff, in order to gain a better understanding of this phenomenon both locally, in Singapore, and internationally. In addition, based on the systemic structure, we test the relative impact of three different policies in reducing ED crowding that are currently discussed by policy-makers in Singapore – these are introduction of geriatric emergency medicine in EDs, expansion of ED staff training, and implementation of enhanced primary care in Singapore.
Methods
Causal loop diagramming
Within the realm of systems thinking, many theories, methods, and tools exist.
15
In this article, we focus on ‘causal loop diagramming’ to visualize the systemic structure underlying ED crowding in Singapore.
16
In this study, we developed a causal loop diagram (CLD) to articulate our understanding of the complex relationships, dynamics, and interconnectedness between interacting variables that are affecting or are affected by ED crowding.
17
The resulting CLD is a conceptual (qualitative) model. Within our CLD depicted in Figures 3 (core model) (To be precise, the core model depicted in Figure 3 is a causal model rather than a CLD because it has no feedback loops.) and 4 (complete model), an arrow indicates the direction of a causal relationship, while the pluses (‘+’) and minuses (‘−’) on the arrows denote polarity of relationships. A positive relationship (arrow with a ‘+’) implies that, all else being equal, an increase in the cause variable causes an increase in the effect variable

Core model structure of ED crowding.

Expanded model structure of ED crowding.
Our CLD is a causal theory explaining the behaviour of ED crowding by focusing on feedback loops. A feedback loop occurs when a variable, through a series of other variables, is linked back to itself. 17 Feedback loops can be either positive or reinforcing, where A creates more B which in turn creates more A, such as the vicious cycle of undernutrition and infection; or they can be balancing or negative, where a positive change in one variable leads to a push back in the opposite direction, as it is the case with body temperature and sweating. 15 Within the CLD in Figure 4, important reinforcing and balancing feedback loops are denoted by the capitalized letters ‘B’ (balancing) and ‘R’ (reinforcing).
Causal inference: the path analysis
Causal inference in a CLD deals with determining the impact of a given cause variable on a given effect variable. 18 For example, this could be the impact of changing a policy variable (e.g. improving access to primary care) on an outcome variable (e.g. ED crowding) in a CLD. For this purpose, a ‘path analysis’ is performed, where a path is defined as a sequence of distinct variables that connect the cause to the effect variable in a CLD. 19
The path analysis considers all paths from a given cause variable to a given effect variable and compares them in terms of their relative impact on the effect variable and the relative magnitude of their delay. In this context, we use the polarity of a path, that is, the total polarity of a link sequence, to determine a path’s relative impact on an effect variable. The polarity of a path is simply calculated by multiplying a path’s individual link polarities.20–22 Analogously to the polarity of a relationship, a positive path means that if the cause variable, that is, the first variable on a path, increases, the effect variable, that is, the last variable on a path, increases
The relative delay of paths is used to distinguish between short-term and long-term effects of policies. For this reason, we need to differentiate between causal relationships, that is, links, having a significant time delay and non-delayed ones. We capture this information using the qualitative coding procedure described in an article in the
Table 1 illustrates the calculation of both the relative impact and the relative delay of two causal paths. The first path implies that
Calculation of relative impact, that is, path polarity, and relative delay of two different causal paths.
The path analysis can be used as a preliminary instrument to evaluate different policies because it helps policy-makers to recognize both potential intended
Clearly, any feedback loops in which the outcome variable is embedded will impact the influence of a change in the policy variable. Any balancing loops will reduce the impact of changes of the policy variable on outcomes while reinforcing loops will increase the impact. Such feedback loops will, however, not alter the direction of change due to the impact of a policy variable. The path analysis can therefore correctly identify intended and unintended policy consequences.
Data sources
The construction of the CLD is primarily based on consultations with ED experts at the symposium
Core model structure
Figure 3 shows the core structure of the CLD we developed. The starting point of the modelling process was the observation that ED crowding is a disequilibrium between demand and supply of emergency medicine services within the ED and limited hospital capacity.2,3 As mentioned in the introduction, restrictions in hospital capacity cause admitted ED patients to ‘board’ or ‘lodge’ inside the ED. These two main causes for ED crowding are reflected in variables 1,
In Singapore, demand for emergency services may be split into two broad categories: P1 and P2 patients needing ‘critical’ ED care (variable 8), and P3 and P4 patients needing ‘stable’ ED care (variable 7). Incoming patients are classified according to the patient acuity category scale (PACS), where P1 denotes the most acutely ill individuals needing immediate attention, P2 refers to acutely ill individuals with severe symptoms, and P3 and P4 are individuals with stable emergencies and less acutely ill patients, respectively. 23 Of all the ED attendances in Singapore, approximately 7% are classified as P1, 40% are P2, 52% are P3, and 1% are P4. 9
In the model, supply of emergency services (variable 2) depends on the size of the ED (variable 3), the number of junior and senior ED staff (variables 4 and 6), and the average productivity of the entire ED workforce (variable 5). It was assumed that senior clinicians are more productive than junior clinicians. 24 In addition, the model takes into account that juniors will become seniors over time increasing the average productivity of the ED workforce.
Previous research has shown that ED crowding influences
Expanded model structure
We expanded the model by gradually increasing the model boundary thereby asking questions such as: ‘What are other consequences of a
A key aspect of the expanded model structure is that an increasing
A further cause of the increasing
For the purpose of diagram clarity and to avoid a ‘crowded’ diagram in Figure 4, we duplicated four variables, that is, generated so-called shadow variables. These variables are
Policy analysis
Based on the full CLD shown in Figure 4, we test three different policies in their impact to reduce ED crowding that are presently discussed by policy-makers in Singapore: 9
Introduction of geriatric emergency medicine in EDs to enable more efficient and effective treatment of the increasing number of elderly patients. This policy is reflected in variable 39,
Expansion of ED staff training to increase the supply of junior ED manpower. This policy is represented in variable 6,
Implementation of enhanced primary care to enable treatment of a large fraction of P3 and all P4 patients outside the ED. This policy is mirrored in variable 25,
As previously discussed, we examine the impact of these policies by performing a ‘path analysis’ that reveals both their intended and unintended (side) effects on the outcome variable
Results
Table 2 summarizes the results of the path analysis illustrating the potential intended and unintended consequences of each policy based on the CLD in Figure 4. Intended and unintended policy consequences are further classified into short-term and long-term effects. All these policy consequences are directly linked to the CLD in Figure 4 and therefore depend on the model’s construction. This implies that any changes made to the CLD, for example, introducing new variables and/or relationships, will lead to different policy consequences.
Path analysis revealing potential intended and unintended consequences of policies on ED crowding (variable 10).
No: number; P: polarity of path/relative impact of path; D: relative delay of path; −: negative; +: positive.
Negative polarity means that the more of a policy is implemented the less ED crowding is.
Numbers correspond to variable numbers in Figure 4.
Pursuing the first policy – introduction of geriatric emergency medicine in EDs – has eight different potential intended consequences which all reduce
To illustrate how to read Table 2, consider, for example, the first path belonging to the eight potential intended consequences of introducing geriatric emergency medicine in EDs:
However, introducing geriatric emergency medicine in EDs shows beside desired consequences such as improved quality of care possible unwanted side effects. Consider, for example, the first path representing an unintended consequence of this policy depicted on the right side of Table 2:
The second possible unintended policy consequence relates to quality of ED care and attractiveness of primary care. In short, it describes how rising standards in ED care causes the
Expanding ED staff training has similarly also potential unintended policy consequences because it implies more work for ED staff due to educational purposes. Rising teaching duties for ED manpower increases stress and reduces job satisfaction. This causes the attrition rate to rise and senior ED staff to resign deteriorating the mismatch between demand and supply for emergency services and crowding (paths 4 and 5). Additionally, expanding ED staff training reduces the overall ED productivity in the short-term because junior ED staff is less productive than senior ED staff (path 1). Other possible unintended side effects are illustrated in paths 2 and 3 in Table 2.
In this study, enhancing primary care was the only policy with no unintended consequences, considering the boundary of our CLD. Accordingly, the implementation of enhanced primary care possibly has a salutary impact on
Discussion
Main findings
In this study, we explored ED crowding in Singapore from a systems thinking perspective to account for the problem’s complexity caused by a web of interrelated issues. 28 We used causal loop diagramming to visualize these interrelations among variables affecting and affected by ED crowding. The resulting CLD is an attempt to better understand the dynamic nature of this phenomenon and it can serve as a ‘boundary object’ for policy discussions among health care decision-makers. 29 Furthermore, it can be used as a conceptual framework for further research efforts similarly to the ‘input-throughput-output’ model. 2
The path analysis examined the likely intended and unintended consequences of three policies currently under consideration in Singapore: introduction of geriatric emergency medicine in EDs, expansion of ED staff training, and implementation of enhanced primary care. The analysis demonstrated that enhancing primary care in Singapore is distinctive in potentially reducing ED crowding because it has no apparent side effects according to the CLD in Figure 4. In Singapore, the primary health care sector has potential for enhancement. Anecdotally, many patients who could be treated appropriately in a primary care clinic prefer going to the ED which they can access 24 h a day and has all the diagnostic equipment – which most single practice general practitioners (GPs) lack – at a reasonable cost. 30 This is reflected by the observation that over half of ED patient visits are categorized as P3 and P4. 9 While others conclude that redirecting non-urgent patients is ineffective, 12 we postulate that diverting a larger fraction of P3 and P4 patients to the primary health care sector may substantially relieve EDs in Singapore.
Both the policy of introducing geriatric emergency medicine and of expanding ED staff training were associated with causal paths representing unintended, that is, undesirable, side effects. In particular, both policies suggest a higher ED workload leading to more stress which if endured for a longer period may cause staff dissatisfaction and burnout. This effect would likely appear in the beginning of policy implementation and could lead to failure as it stresses a health care system which is already stretched close to its limits. 9
Limitations
This study is based on the analysis of a CLD, a qualitative and simplified model of a real-world problem and necessarily does not capture the whole reality. Some phenomena may not been included in the CLD or are oversimplified. Thus, the value of the policy analysis is highly linked to the accuracy of the model’s representation of ED crowding. However, the CLD captures a substantial range of factors and provides a valuable starting point for further discussion and decision-making.
While the path analysis allows to identify the intended and unintended consequences of different policies, it does not allow to measure the overall policy impact and therefore to assess policy effectiveness. To measure the overall impact of a policy would require the quantitative analysis of the interaction of all the feedback loops in the CLD. Feedback loops modify the effect of the impact of policy levers on the outcome variable. The effect of any policy to reduce ED crowding is lessened by balancing loops such as the one linking ED crowding to the number of
Also, this model assumes that each policy is equally easy to implement and does not account for real-world issues in implementation. For example, enhancing primary care might be more demanding to implement compared to the other policy options. Additionally, the model ignores the factor of patient choice, as patients may still not choose to go for primary care even with enhancement in preference to the ED.
Future research
In addition to further validating the CLD, future research might try to parametrize the CLD’s variables and interrelations to enable the construction of a simulation model using the ‘system dynamics’ methodology. 14 This allows for a more nuanced analysis of ED crowding because it provides a quantitative estimate of the relative importance of the phenomena reflected in CLD paths and allows us to simulate system change in response to policy actions. A quantitative model will allow to take into account the interaction of all the feedback effects which modify the magnitude of the impact of the policy levers on the outcome variable. A quantitative model will also permit to assess the combined effect of the implementation of one or more policy options onto the outcome variable considering the magnitude of all the intended and unintended consequences of these policies. Such a quantitative simulation can be exceedingly useful in the formation of health care policy. 31
Conclusion
ED crowding is a health care problem observable in many health care systems and reflects a local manifestation of a larger systemic disease within a health care system. In this study, we approached the problem using a systems thinking approach to account for its complex and holistic nature. Causal loop diagramming was a powerful tool for eliciting the systemic structure of ED crowding, illustrating the interrelations between its drivers and consequences. Furthermore, the resulting CLD proved useful in evaluating three different policies currently debated by policy-makers in Singapore, in particular demonstrating vividly, both intended and unintended consequences of policy proposals.
